researchseminars.org

Matt Kerr (Washington University in St. Louis)
2024-05-03 21:30 - 22:30 UTC | https://researchseminars.org/talk/agstanford/143/
Title: Hypergeometric families and Beilinson’s conjectures (main talk) (https://researchseminars.org/talk/agstanford/143/)
by Matt Kerr (Washington University in St. Louis) as part of Stanford algebraic geometry seminar

Lecture held in 383-N.

Abstract
I will describe the construction of motivic cohomology classes on hypergeometric families of Calabi-Yau 3-folds using Hadamard convolutions. One can view this as a “higher” version of the Mordell-Weil group for families of elliptic curves, giving rise to sections of “higher” Jacobian bundles which produce solutions to certain inhomogeneous Picard-Fuchs equations. This is part of a joint project with Vasily Golyshev which aims to numerically verify Beilinson’s conjectures in some new cases.

(Matt Kerr kindly offered to give an introductory pre-talk on hypergeometric variations of hodge structures (VHS). So part 1, 12-1 pm, will be a friendly pre-talk, and part 2, 2:30-3:30 pm, will be the friendly talk itself.)
